TY  - JOUR
A1  - Becker, Christian
A1  - Benini, Marco
A1  - Schenkel, Alexander
A1  - Szabo, Richard J.
T1  - Cheeger-Simons differential characters with compact support and Pontryagin duality
T2  - Communications in analysis and geometry
N2  - By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact sequences which compare it to compactly supported singular cohomology and differential forms with compact support, in full analogy to ordinary differential cohomology. We prove an excision theorem for differential cohomology using a suitable relative version. Furthermore, we use our model to give an independent proof of Pontryagin duality for differential cohomology recovering a result of [Harvey, Lawson, Zweck - Amer. J. Math. 125 (2003), 791]: On any oriented manifold, ordinary differential cohomology is isomorphic to the smooth Pontryagin dual of compactly supported differential cohomology. For manifolds of finite-type, a similar result is obtained interchanging ordinary with compactly supported differential cohomology.
Y1  - 2019
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/50528
SN  - 1019-8385
SN  - 1944-9992
VL  - 27
IS  - 7
SP  - 1473
EP  - 1522
PB  - International Press of Boston
CY  - Somerville
ER  -